Pith Number

pith:HOPOXJAH

pith:2015:HOPOXJAHAERLGJRRUCDJ3OXFIH

not attested not anchored not stored refs pending

There is exactly one Z2Z4-cyclic 1-perfect code

Cristina Fern\'andez-C\'ordoba, Joaquim Borges

arxiv:1510.06166 v1 · 2015-10-21 · math.CO · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOPOXJAHAERLGJRRUCDJ3OXFIH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:29:37.623647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b9eeba4070122b32631a0869dbae541c5c488ffedbf1cc3556b2e23a30267e5

Aliases

arxiv: 1510.06166 · arxiv_version: 1510.06166v1 · doi: 10.48550/arxiv.1510.06166 · pith_short_12: HOPOXJAHAERL · pith_short_16: HOPOXJAHAERLGJRR · pith_short_8: HOPOXJAH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HOPOXJAHAERLGJRRUCDJ3OXFIH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3b9eeba4070122b32631a0869dbae541c5c488ffedbf1cc3556b2e23a30267e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed8897a25b113bdbbeda1296529dfbc262fe55886737f33b619180e552d22616",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-21T08:37:34Z",
    "title_canon_sha256": "4582705143b7a8077a1b9c0615dc872d4604fa9e1342bdc993cd4c6f095f9655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06166",
    "kind": "arxiv",
    "version": 1
  }
}